W*-superrigidity for property (T) groups with infinite center

Ionuţ Chifan; Adriana Fernández Quero; Denis Osin; Hui Tan

doi:10.48550/arxiv.2503.12742

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W*-superrigidity for property (T) groups with infinite center

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W*-superrigidity for property (T) groups with infinite center

Ionuţ Chifan, Adriana Fernández Quero, Denis Osin and Hui Tan

ArXiV.org

Cornell University

03/16/2025

DOI: 10.48550/arxiv.2503.12742

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https://doi.org/10.48550/arxiv.2503.12742View

Preprint (Author's original) This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We propose to study a natural version of Connes' Rigidity Conjecture that involves property (T) groups with infinite center. Utilizing techniques at the intersection of von Neumann algebras and geometric group theory, we establish several cases where this conjecture holds. In particular, we provide the first example of a W∗-superrigid property (T) group with infinite center. In the course of proving our main results, we also generalize the main W∗-superrigidity result from \cite{cios22} to twisted group factors.

Mathematics - Operator Algebras

Details

Title: Subtitle: W*-superrigidity for property (T) groups with infinite center
Creators: Ionuţ Chifan
Adriana Fernández Quero
Denis Osin
Hui Tan
Resource Type: Preprint
Publication Details: ArXiV.org
DOI: 10.48550/arxiv.2503.12742
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Language: English
Date posted: 03/16/2025
Academic Unit: Mathematics
Record Identifier: 9984801669302771

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